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Show that for k = 2 the likelihood ratio statistic of Exercise 25 can be expressed in terms of the ratio of the two sample variances and that the likelihood ratio test can, therefore, be based on the F distribution.
Exercise 25
Independent random samples of sizes n1, n2, ... , and nk from k normal populations with unknown means and variances are to be used to test the null hypothesis = =···= against the alternative that these variances are not all equal.
(a) Show that under the null hypothesis the maximum likelihood estimates of the means μ1 and the variances are
(b) Using the results of part (a), show that the likelihood ratio statistic can be written as
You randomly select six women and ask each if she considers herself a fan of professional baseball. Construct a binomial distribution using n=6 and p=0.39.
if a person bought one share of google stock within the last year what is the probability that the stock on that day
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Identify the Explanatory (X) and Response (Y) variable and find Persons Correlation Coefficient and determine if there exists a significant linear relationship.
blaymount amateur dramatic society is staging a play and wants to know how much to spend on advertising. its objective
A recent survey of 50 executives who were laid off durning a recent recession revealed it took a mean of 26 weeks for them to find another position. The standard deviation of the sample was 6.2 weeks. Construct a 95 percent confidence interval for..
The width of the interval with the finite population correction factor is wider than the confidence interval without the finite population correction factor.
2. If the profit for the Mini model is reduced to $125 and the profit for the Standard Model is increased to $240 simultaneously and the profit for the Large model stayed at $250, would the optimal solution change?
during the dry month of august one u.s. city has measurable rain on average only two days per month. if the arrival of
The manager of a car wash receives pricing schedule (shown below) from the vendor who supplies soap- and a promise of a 25% shorter lead time for deliveries.
The profit from selling food at an outdoor cafe depends on the number of hours of sunshine through the formula, Profit = 1000(1-(e -x /10)). Find the expected level of profit.
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